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Finding the Fourth Proportional to 5,266.59, 7,893.06 and 2,142.96

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Solution

The fourth proportional to 5,266.59, 7,893.06 and 2,142.96 is: 3,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.59 : 7,893.06 = 2,142.96 : x
  2. Step 2: Convert to fraction form
    5,266.59/7,893.06 = 2,142.96/x
  3. Step 3: Cross multiply
    5,266.59x = 7,893.06 × 2,142.96
  4. Step 4: Simplify right side
    5,266.59x = 16,914,511.86
  5. Step 5: Solve for x
    x = 16,914,511.86/5,266.59
  6. Step 6: Final answer
    x = 3,211.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.